The teacher separated her class of forty-six students into two groups. one group has 7 more than twice as many students as the other group. use variable s for the group with less students.

The rows and columns of lattice points in a three-by-three square array are evenly spaced one unit apart. how many distinct triangles with at least one side of length 2 units can be drawn using three lattice points for the vertices?

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.

*15 pts* the graph of an exponential function of the form y = f(x) = ax passes through the points and the graph lies the x-axis. first line choices: (0, a) (0, 1) (0, 2) (0, -1) second line choices: (1, 0) (1, a) (1, 1) (1, -2) third line choices: above below on the